B
5-2 < 6 < 5+2
Which set of line segments can be used to construct a triangle?
Responses
A 8 cm, 3 cm, and 3 cm8 cm, 3 cm, and 3 cm
B 6 cm, 5 cm, and 2 cm6 cm, 5 cm, and 2 cm
C 6 cm, 2 cm, and 9 cm6 cm, 2 cm, and 9 cm
D 8 cm, 2 cm, and
2 answers
Correct! According to the triangle inequality theorem, the sum of any two sides of a triangle must be greater than the third side. In option B, 6 + 5 = 11, which is greater than 2. Therefore, a triangle can be constructed with sides of 6 cm, 5 cm, and 2 cm.